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Volumn , Issue , 2008, Pages 307-312

Evaluation of cross-validation formulas for choosing the regularization parameter for inversion of Fredholm integral of the first kind with non-negativity constraints

Author keywords

turbidity, tikhonov regularization, generalized cross validation, regularization parameter

Indexed keywords

ADSORPTION;

EID: 63049139306     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ICSENST.2008.4757119     Document Type: Conference Paper
Times cited : (3)

References (21)
  • 1
    • 0001195441 scopus 로고
    • Numerical tools for analysis and solution of Fredholm integral equations of the first kind
    • P. C. Hansen, "Numerical tools for analysis and solution of Fredholm integral equations of the first kind," Inverse Problems, vol. 8, 1992.
    • (1992) Inverse Problems , vol.8
    • Hansen, P.C.1
  • 2
    • 0015127540 scopus 로고
    • Numerical method for solving Fredholm integral equations of the first kind using singular vaues
    • R. J. Hanson, "Numerical method for solving Fredholm integral equations of the first kind using singular vaues," SIAM Journal on Numerical Analysis, vol. 8, pp. 616-622, 1971.
    • (1971) SIAM Journal on Numerical Analysis , vol.8 , pp. 616-622
    • Hanson, R.J.1
  • 3
    • 0042843626 scopus 로고    scopus 로고
    • Inversion of elastic light scattering measurements to determine refractive index and particle size distribution of polymeric emulsions
    • G. L. Frontini and E. M. Fernandez Berdaguer, "Inversion of elastic light scattering measurements to determine refractive index and particle size distribution of polymeric emulsions," Inverse Problems in Eng, vol. 11, pp. 329-340, 2003.
    • (2003) Inverse Problems in Eng , vol.11 , pp. 329-340
    • Frontini, G.L.1    Fernandez Berdaguer, E.M.2
  • 5
    • 0037440825 scopus 로고    scopus 로고
    • Measurement of emulsion droplet sizes using PFG NMR and regularization methods
    • K. G. Hollingsworth and M. L. Johns, "Measurement of emulsion droplet sizes using PFG NMR and regularization methods," Journal of Colloid and Interface Science, vol. 258, pp. 383-389, 2003.
    • (2003) Journal of Colloid and Interface Science , vol.258 , pp. 383-389
    • Hollingsworth, K.G.1    Johns, M.L.2
  • 7
    • 0000210210 scopus 로고
    • Statistical approach to the solution of first-kind integral equations arising in the study of materials and their properties
    • J. D. Wilson, "Statistical approach to the solution of first-kind integral equations arising in the study of materials and their properties," Journal of Materials Science, vol. 27, pp. 3911-3924, 1992.
    • (1992) Journal of Materials Science , vol.27 , pp. 3911-3924
    • Wilson, J.D.1
  • 8
    • 0000570697 scopus 로고
    • Analysis of Discrete Ill-Posed Problems by Means of the L-Curve
    • P. C. Hansen, "Analysis of Discrete Ill-Posed Problems by Means of the L-Curve," SIAM Review, vol. 34, pp. 561-580, 1992.
    • (1992) SIAM Review , vol.34 , pp. 561-580
    • Hansen, P.C.1
  • 9
    • 0001632418 scopus 로고
    • The Use of the L-Curve in the Regularization of Discrete Iii-Posed Problems
    • P. C. Hansen and D. P. Oleary, "The Use of the L-Curve in the Regularization of Discrete Iii-Posed Problems," Siam Journal on Scientific Computing, vol. 14, pp. 1487-1503, 1993.
    • (1993) Siam Journal on Scientific Computing , vol.14 , pp. 1487-1503
    • Hansen, P.C.1    Oleary, D.P.2
  • 10
    • 33845895715 scopus 로고    scopus 로고
    • Evaluation of L-curve and theta-curve approaches for the selection of regularization parameters in anisotropic traveltime tomography
    • E. T. F. Santos, A. Bassrei, and J. C. Costa, "Evaluation of L-curve and theta-curve approaches for the selection of regularization parameters in anisotropic traveltime tomography," Journal of Seismic Exploration, vol. 15, pp. 245-272, 2006.
    • (2006) Journal of Seismic Exploration , vol.15 , pp. 245-272
    • Santos, E.T.F.1    Bassrei, A.2    Costa, J.C.3
  • 11
    • 0001041472 scopus 로고    scopus 로고
    • Non-convergence of the L-curve regularization parameter selection method
    • C. R. Vogel, "Non-convergence of the L-curve regularization parameter selection method," Inverse Problems, vol. 12, pp. 535-547, 1996.
    • (1996) Inverse Problems , vol.12 , pp. 535-547
    • Vogel, C.R.1
  • 12
    • 32044449925 scopus 로고
    • Generalized Cross-Validation as a Method for Choosing a Good Ridge Parameter
    • G. H. Golub, M. Heath, and G. Wahba, "Generalized Cross-Validation as a Method for Choosing a Good Ridge Parameter," Technometrics, vol. 21, pp. 215-223, 1979.
    • (1979) Technometrics , vol.21 , pp. 215-223
    • Golub, G.H.1    Heath, M.2    Wahba, G.3
  • 13
    • 33749009570 scopus 로고    scopus 로고
    • Robust generalized cross-validation for choosing the regularization parameter
    • M. A. Lukas, "Robust generalized cross-validation for choosing the regularization parameter," Inverse Problems, vol. 22, pp. 1883-1902, 2006.
    • (2006) Inverse Problems , vol.22 , pp. 1883-1902
    • Lukas, M.A.1
  • 14
    • 0035441819 scopus 로고    scopus 로고
    • Efficient generalized crossvalidation with applications to parametric image restoration and resolution enhancement
    • N. Nguyen, P. Milanfar, and G. Golub, "Efficient generalized crossvalidation with applications to parametric image restoration and resolution enhancement," Ieee Transactions on Image Processing, vol. 0, pp. 1299-1308, 2001.
    • (2001) Ieee Transactions on Image Processing , vol.0 , pp. 1299-1308
    • Nguyen, N.1    Milanfar, P.2    Golub, G.3
  • 15
    • 34247379507 scopus 로고    scopus 로고
    • Optimal numerical methods for choosing an optimal regularization parameter
    • K. Okamoto and B. Q. Li, "Optimal numerical methods for choosing an optimal regularization parameter," Numerical Heat Transfer, Part B: Fundamentals, vol. 51, pp. 515-533, 2007.
    • (2007) Numerical Heat Transfer, Part B: Fundamentals , vol.51 , pp. 515-533
    • Okamoto, K.1    Li, B.Q.2
  • 16
    • 0042878480 scopus 로고    scopus 로고
    • A New Technique for Ill-Conditioned Linear Systems
    • G. Rodriguez, S. Seatzu, and D. Theis, "A New Technique for Ill-Conditioned Linear Systems," Numerical Algorithms, vol. 33, pp. 433-442, 2003.
    • (2003) Numerical Algorithms , vol.33 , pp. 433-442
    • Rodriguez, G.1    Seatzu, S.2    Theis, D.3
  • 17
    • 0022781743 scopus 로고
    • Heterogeneous adsorption on microporous carbons
    • B. McEnaney, T. J. Mays, and P. D. Causton, "Heterogeneous adsorption on microporous carbons," Langmuir, vol. 3, pp. 695-699, 1987.
    • (1987) Langmuir , vol.3 , pp. 695-699
    • McEnaney, B.1    Mays, T.J.2    Causton, P.D.3
  • 18
    • 84989748761 scopus 로고    scopus 로고
    • Fifth ed. Powder Sampling and Particle Size Measurement: Chapman & Hall
    • T. Allen, Particle Size Measurement, Fifth ed. vol. 1 - Powder Sampling and Particle Size Measurement: Chapman & Hall, 1997.
    • (1997) Particle Size Measurement , vol.1
    • Allen, T.1
  • 19
    • 84989748761 scopus 로고    scopus 로고
    • Fifth ed. Powder Sampling and Particle Size Measurement: Chapman & Hall
    • T. Allen, Particle Size Measurement, Fifth ed. vol. 1 - Powder Sampling and Particle Size Measurement: Chapman & Hall, 1997.
    • (1997) Particle Size Measurement , vol.1
    • Allen, T.1
  • 20
    • 0032374256 scopus 로고    scopus 로고
    • Numerical methods for retrieving aerosol size distributions from optical measurements of solar radiation
    • M. F. Carfora, F. Esposito, and C. Serio, "Numerical methods for retrieving aerosol size distributions from optical measurements of solar radiation," Journal of Aerosol Science, vol. 29, pp. 1225-1236, 1998.
    • (1998) Journal of Aerosol Science , vol.29 , pp. 1225-1236
    • Carfora, M.F.1    Esposito, F.2    Serio, C.3
  • 21
    • 0041527033 scopus 로고    scopus 로고
    • Inversion of particle size distribution from light scattering spectrum
    • J. He, S. M. Wang, J. C. Cheng, and S. Y. Zhang, "Inversion of particle size distribution from light scattering spectrum," Inverse Problems, vol. 12, pp. 633-639, 1996.
    • (1996) Inverse Problems , vol.12 , pp. 633-639
    • He, J.1    Wang, S.M.2    Cheng, J.C.3    Zhang, S.Y.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.